Considerations on design parameters for attitude control of spacecraft using port-controlled Hamiltonian systems
Authors
Tomoya Sakamoto, Yuki Akiyama, Mai Bando, Shinji Hokamoto
Abstract
In previous research, a controller design procedure via generalized canonical transformations has been proposed to keep the passivity feature of Port-controlled Hamiltonian systems. The procedure has a general form and is applicable to spacecraft’s attitude motion described with quaternion parameters. This paper investigates the roles of several design parameters in the generalized canonical transformations. Special attention is placed on the relation between the shape of Lyapunov functions and the convergence speed of the state variables. Furthermore, from the analysis utilizing the linearized form of the Port-controlled Hamiltonian system, the guideline to decide the preferable ratio between two parameters in the design procedure is proposed.
Citation
- Journal: 2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE)
- Year: 2017
- Volume:
- Issue:
- Pages: 464–469
- Publisher: IEEE
- DOI: 10.23919/sice.2017.8105722
BibTeX
@inproceedings{Sakamoto_2017,
title={{Considerations on design parameters for attitude control of spacecraft using port-controlled Hamiltonian systems}},
DOI={10.23919/sice.2017.8105722},
booktitle={{2017 56th Annual Conference of the Society of Instrument and Control Engineers of Japan (SICE)}},
publisher={IEEE},
author={Sakamoto, Tomoya and Akiyama, Yuki and Bando, Mai and Hokamoto, Shinji},
year={2017},
pages={464--469}
}
References
- takeuchi, Non-linear Control of Hamiltonian Systems with Quaternions (in Japanese). 57th Conference on Space Science and Technology (2013)
- Maschke, B. M. & van der Schaft, A. J. A Hamiltonian approach to stabilization of nonholonomic mechanical systems. Proceedings of 1994 33rd IEEE Conference on Decision and Control vol. 3 2950–2954 – 10.1109/cdc.1994.411344
- FUJIMOTO, K., TAKEUCHI, T. & MATSUMOTO, Y. On Port-Hamiltonian Modeling and Control of Systems with Quaternions. AEROSPACE TECHNOLOGY JAPAN 14, Pd_1-Pd_6 (2016) – 10.2322/tastj.14.pd_1
- matsumoto, Study of obstacle avoidance problem for spacecrafts represented by port-Hamiltonian systems (in Japanese). Proceedings of the 59th Space Sciences and Technology Conference (2015)
- Fujimoto, K., Sakurama, K. & Sugie, T. Trajectory tracking control of port-controlled Hamiltonian systems via generalized canonical transformations. Automatica 39, 2059–2069 (2003) – 10.1016/j.automatica.2003.07.005
- hassan, Nonlinear Systems Third Edition (2002)
- FUJIMOTO, K., SAKURAMA, K. & SUGIE, T. Trajectory Tracking Control of Port-Controlled Hamiltonian Systems via Generalized Canonical Transformations. T. SICE 37, 741–747 (2001) – 10.9746/sicetr1965.37.741
- Fujimoto, K. & Sugie, T. Canonical transformation and stabilization of generalized Hamiltonian systems. Systems & Control Letters 42, 217–227 (2001) – 10.1016/s0167-6911(00)00091-8